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On Generalized Sundman Transformation Method, First Integrals and Solutions of Painlevé-Gambier Type Equations
Partha Guha, Anindya Ghose Choudhury and Barun KhanraAbstract
We employ generalized Sundman transformation method to obtain certain new first integrals of autonomous second-order ordinary differential equations belonging to the Painlevé-Gambier classification scheme. In particular this method yields systematically both known and unknown first integrals of a large number of the autonomous Painlevé-Gambier equations.
- Received:
- 23.07.09
- Published:
- 24.07.09
- MSC Codes:
- 34C14, 34C20
- Keywords:
- Painlev\'e-Gambier, first integrals, Jacobi equation